Answered
hi.
Is there any way to create inequalities in polar form in GeoGebra?
For instance, if we have a function y = sin(x), we get a curve, but if
we change it to y < sin(x), we get the area under the curve.
Similarly, we can specify a function in polar form r = sin(t) (where
the radius r is specified as a function of the angle t) and we'd
expect to obtain the area enclosed by the curve by changing it
to r < sin(t).
But I don't see any way to do that with the parametric polar curve command.
Curve((sin(t);t),t,0,2 pi)
Greetings and thanks in advance for any feedback, Niek
Files:
geogebra-polar-...
The same question 
Try
then you can increase its opacity (and also check "inverse filling" if you want)
Ah yes, that works, but would it also be possible to obtain logical combinations if you have multiple polar parametric curves?
Similar to how you can do something like (where c is a logical combination of a and b):
a: y < sin(x)
b: x < sin(y)
c: a(x,y) ∧ b(x,y)
please, give a concrete example with ρ and θ
like Curve((cos(θ) + sin(θ) - abs(cos(θ) - sin(θ)) / 2; θ), θ, 0, 2π) for ρ<cos(θ)&&ρ<sin(θ)
In this example (in the attached ggb file) you can see c1 is easy to define logically in terms of a1 and b1.
If I try something similar for parametric polar curves to obtain the same shapes, I don't see an easy way to obtain c2 from a2 and b2, but perhaps the curves in the example should have the same start and end values for the parameter for this approach to work.
desigualdad en coordenadas polares deberia ser más especifica
ejemplo: ¿ ρ ≤ θ debería colorear el (1,1)=(sqrt(2);π/4)=(sqrt((2);9π/4) sí o no?
para zonas encerradas por curvas en polares puede ver esto
https://www.geogebra.org/m/...
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